In this Note we give a simple proof of a conjecture by A. Căldăraru stating the compatibility between the modified Hochschild–Kostant–Rosenberg isomorphism and the action of Hochschild cohomology on Hochschild homology in the case of Calabi–Yau manifolds and smooth projective curves.
The module structure of Hochschild homology in some examples / E. Macrì, M. Nieper-Wisskirchen, P. Stellari. - In: COMPTES RENDUS MATHÉMATIQUE. - ISSN 1631-073X. - 346:15-16(2008), pp. 863-866. [10.1016/j.crma.2008.05.017]
The module structure of Hochschild homology in some examples
P. StellariUltimo
2008
Abstract
In this Note we give a simple proof of a conjecture by A. Căldăraru stating the compatibility between the modified Hochschild–Kostant–Rosenberg isomorphism and the action of Hochschild cohomology on Hochschild homology in the case of Calabi–Yau manifolds and smooth projective curves.
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